Creating a Curved/concave shape from a flat surface
Seeing your reference, the TV tube s not so "spherical", so I won't start from a sphere. I tried to get something like that:



in a very simple way.


I created a vertical plane, and subdivided it about 40 times.
then I added a lattice object all around the plane
adjusted lattice subdivision settings: U:1, V:5, W:3
applied a lattice modifier to the plane mesh, targeting lattice object of course
then pulled some "front" lattice vertices outwards, obtaining a soft, uniform deform to the plane
built a rough tv set box around the deformed plane


I can't detail more all steps now, I'm in a hurry, but I provide a sample .blend below, so you can see the setup. Let me know if you need more detail.